3D triangular mesh parametrization using locally linear embedding

Authors:
Xianfang Sun;Edwin R. Hancock
Affiliations:
School of Automation Science and Electrical Engineering, Beihang University, Beijing, P.R. China;Department of Computer Science, The University of York, York, UK
Venue:
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Year:
2005

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Abstract

In this paper we describe a new mesh parametrization method which combines the mean value coordinates and the Locally Linear Embedding (LLE) method. The mean value method is extended to compute the linearly reconstructing weights of both the interior and the boundary vertices of a 3D triangular mesh, and the weights are further used in the LLE algorithm to compute the vertex coordinates of a 2D planar triangular mesh parametrization. Examples are provided to show the effectiveness of this parametrization method.